Question

A 76.00-pound flask of mercury costs $158.00. The density of mercury is 13.534 g/cm³.

Find the price of one cubic inch of mercury by calculating the following intermediate values.

What is the price of one pound of mercury?

It takes 2.550 cubic inches of mercury to make one manometer. Find the price of the mercury used to make 13 manometers by first calculating the cost of mercury for one manometer.

What is the price of mercury used to make one manometer?

What is the price of one cubic centimeter of mercury?

What is the price of one cubic inch of mercury?

What is the price of mercury used to make 13 manometers?

Answer 1

price of mercury per pound = ($158.00) / (76.00 lbs)

price of mercury per pound = $2.079 / lb

price mercury per gram = ($2.079 / lb) * (1 lb / 453.592 g)

price mercury per gram = $4.583 x 10^-3 / g

volume of mercury = 1 in³

volume of mercury = 1 in³ * (16.39 cm³ / 1 in³)

volume of mercury = 16.39 cm³

mass of mercury = (volume of mercury) * (density of mercury)

mass of mercury = (16.39 cm³) * (13.534 g/cm³)

mass of mercury = 221.8 g

price of mercury = (mass of mercury) * (price mercury per gram)

price of mercury = (221.8 g) * ($4.583 x 10^-3 / g)

price of 1 cubic inch of mercury = $1.016

price of mercury used to make one manometer = (2.550 in³) * ($1.016 / 1 in³)

price of mercury used to make one manometer = $2.592

price of mercury used to make 13 manometers = (13 manometers) * ($2.592 / 1 manometer)

price of mercury used to make 13 manometers = $33.70